Printable Class 7 Maths worksheet titled "Comparing Quantities: Finding Percentage" from Kaboodle, featuring problems on calculating percentages, converting units, and solving word problems related to real-life situations.

Let's solve each question step by step from the Class 7 Maths Worksheet on Finding Percentage.

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Section 1: What percent of?

We use the formula:
$$
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
$$

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#### 1. 24 is 6?
$$
\frac{6}{24} \times 100 = 0.25 \times 100 = 25\%
$$
✔ Answer: 25%

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#### 2. 4 km is 160 m?

First, convert both to same unit:
4 km = 4000 m
$$
\frac{160}{4000} \times 100 = 0.04 \times 100 = 4\%
$$
✔ Answer: 4%

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#### 3. ₹125 is Rs 10?
$$
\frac{10}{125} \times 100 = 0.08 \times 100 = 8\%
$$
✔ Answer: 8%

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#### 4. 2 days is 8 hrs?

Convert 2 days to hours:
2 days = 48 hours
$$
\frac{8}{48} \times 100 = \frac{1}{6} \times 100 \approx 16.67\%
$$
✔ Answer: 16.67%

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#### 5. 1 liter is 175 ml?

1 liter = 1000 ml
$$
\frac{175}{1000} \times 100 = 0.175 \times 100 = 17.5\%
$$
✔ Answer: 17.5%

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Section 2: Express the following in decimal

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#### 6. Rajdhani college has 2400 students, 40% of whom are girls. How many boys are there?

- Number of girls = 40% of 2400
$$
= \frac{40}{100} \times 2400 = 0.4 \times 2400 = 960
$$
- So, number of boys = Total - Girls
$$
= 2400 - 960 = 1440
$$
✔ Answer: 1440

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#### 7. Mr. Sidhana saves 28% of his income. If he saves ₹840 per month, find his monthly income.

Let total income = ₹x
Then:
$$
28\% \text{ of } x = 840 \\
\frac{28}{100} \times x = 840 \\
x = \frac{840 \times 100}{28} = 3000
$$
✔ Answer: ₹3000

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#### 8. In an examination, 92% passed and 46 failed. How many candidates appeared?

Let total candidates = x
Then, percentage who failed = 100% - 92% = 8%

So,
$$
8\% \text{ of } x = 46 \\
\frac{8}{100} \times x = 46 \\
x = \frac{46 \times 100}{8} = 575
$$
✔ Answer: 575

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#### 9. Rahim obtained 60 marks out of 75. Find the percentage.

$$
\frac{60}{75} \times 100 = 0.8 \times 100 = 80\%
$$
✔ Answer: 80%

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#### 10. Out of an income of ₹15000, Nazima spends ₹10200. What percent does she save?

First, calculate savings:
$$
\text{Savings} = 15000 - 10200 = ₹4800
$$
Now, percentage saved:
$$
\frac{4800}{15000} \times 100 = 0.32 \times 100 = 32\%
$$
✔ Answer: 32%

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✔ Final Answers:

| Question | Answer |
|--------|--------|
| 1 | 25% |
| 2 | 4% |
| 3 | 8% |
| 4 | 16.67% |
| 5 | 17.5% |
| 6 | 1440 |
| 7 | ₹3000 |
| 8 | 575 |
| 9 | 80% |
| 10 | 32% |

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